Volume and Surface Area Questions Practice Question and Answer

Q:

What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units?

1388 0

  • 1
    $$ {lw\over3}$$
    Correct
    Wrong
  • 2
    $$ {2lw\over3}$$
    Correct
    Wrong
  • 3
    $$ {3lw\over3}$$
    Correct
    Wrong
  • 4
    $$ {lw\over2}$$
    Correct
    Wrong
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Answer : 4. "$$ {lw\over2}$$"

Q:

In a circle, difference between the circumference and radius is 37 cm. Find the area (in cm²) of the circle?

1381 0

  • 1
    616
    Correct
    Wrong
  • 2
    154
    Correct
    Wrong
  • 3
    308
    Correct
    Wrong
  • 4
    77
    Correct
    Wrong
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Answer : 2. "154 "

Q:

What is the area ( in cm2 ) of the circumcircle of a triangle whose sides are 6 cm , 8 cm and 10 cm respectively ? 

1380 0

  • 1
    $$ {275\over 7}$$
    Correct
    Wrong
  • 2
    $$ {2200\over 7}$$
    Correct
    Wrong
  • 3
    $$ {550\over 7}$$
    Correct
    Wrong
  • 4
    $$ {1100\over 7}$$
    Correct
    Wrong
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Answer : 3. "$$ {550\over 7}$$"

Q:

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

1372 0

  • 1
    3 : 7
    Correct
    Wrong
  • 2
    7 : 3
    Correct
    Wrong
  • 3
    6 : 7
    Correct
    Wrong
  • 4
    7 : 6
    Correct
    Wrong
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Answer : 2. "7 : 3"

Q:

A right circular cone of largest volume is cut out from a solid wooden hemisphere. The remaining material is what percentage of the volume of the original hemisphere?

1367 0

  • 1
    50 %
    Correct
    Wrong
  • 2
    $$ {33{1\over3}}{ \%}$$
    Correct
    Wrong
  • 3
    75 %
    Correct
    Wrong
  • 4
    $$ {66{2\over3}}{ \%}$$
    Correct
    Wrong
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Answer : 1. "50 %"

Q:

The areas of the three adjacent faces of a cuboid are 32 cm2, 24 cm2 and 48cm2. What is the volume of the cuboid?

1353 0

  • 1
    288 cm3
    Correct
    Wrong
  • 2
    256 cm3
    Correct
    Wrong
  • 3
    128 cm3
    Correct
    Wrong
  • 4
    192 cm3
    Correct
    Wrong
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Answer : 4. "192 cm3"

Q:

The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?

1348 0

  • 1
    4 : 7
    Correct
    Wrong
  • 2
    3 : 8
    Correct
    Wrong
  • 3
    4 : 5
    Correct
    Wrong
  • 4
    5 : 9
    Correct
    Wrong
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Answer : 2. "3 : 8"

Q:

What is the area of an equilateral triangle having altitude equal to $$5\sqrt{3}$$cm.

1300 0

  • 1
    $$25\sqrt{3}$$
    Correct
    Wrong
  • 2
    $$45\sqrt{3}$$
    Correct
    Wrong
  • 3
    45
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "$$25\sqrt{3}$$"

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